Details

Time bar (total: 8.0s)

analyze1.1s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
1.6%98.2%0.2%9
2.3%97.5%0.2%10
11.7%88.1%0.2%11
13.1%74.3%12.7%12
16.1%70.5%13.5%13
18.6%68%13.5%14

sample85.0ms

Algorithm
intervals
Results
23.0ms41×body1280valid
19.0ms56×body640valid
8.0ms119×body80valid
5.0ms26×body320valid
3.0ms55×body80nan
2.0ms14×body160valid
2.0ms5×body1280nan
1.0ms7×body320nan
1.0ms5×body640nan
1.0ms20×body80overflowed
1.0ms5×body160nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02413
12413

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 13.6b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp z))
0.0b
(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
0.8b
(log (+ 1.0 (- (* y (exp z)) y)))
4.3b
(- (* y (exp z)) y)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
12×times-frac
11×pow1
8×add-exp-log add-cbrt-cube
6×add-log-exp
5×log-pow
4×log-div log-prod associate-/l*
3×associate-*r* associate-*l* associate-/r*
2×flip3-+ div-sub flip-+
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp rem-log-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out unswap-sqr
Counts
4 → 77
Calls
4 calls:
5.0ms
(* y (exp z))
8.0ms
(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
6.0ms
(log (+ 1.0 (- (* y (exp z)) y)))
5.0ms
(- (* y (exp z)) y)

series65.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* y (exp z))
37.0ms
(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
15.0ms
(log (+ 1.0 (- (* y (exp z)) y)))
7.0ms
(- (* y (exp z)) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050011198

prune156.0ms

Filtered
70 candidates to 89 candidates (-27.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New83689
Fresh000
Picked101
Done000
Total84690

Merged error: 3.2b

Counts
90 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp z))
0.0b
(* (log (+ 1.0 (- (* y (exp z)) y))) (/ 1 t))
0.8b
(log (+ 1.0 (- (* y (exp z)) y)))
4.3b
(- (* y (exp z)) y)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×*-un-lft-identity
16×associate-*r*
15×add-exp-log add-cube-cbrt
11×times-frac add-cbrt-cube
10×pow1
7×associate-*l*
6×add-log-exp
5×prod-exp
4×log-prod unswap-sqr
3×cbrt-unprod
2×log-div div-exp pow-prod-down log-pow *-commutative
1×cbrt-undiv sub-neg rec-exp flip3-- flip3-+ diff-log 1-exp associate-*r/ rem-log-exp un-div-inv flip-- flip-+ div-inv distribute-lft-out
Counts
4 → 81
Calls
4 calls:
7.0ms
(* y (exp z))
7.0ms
(* (log (+ 1.0 (- (* y (exp z)) y))) (/ 1 t))
6.0ms
(log (+ 1.0 (- (* y (exp z)) y)))
5.0ms
(- (* y (exp z)) y)

series63.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* y (exp z))
37.0ms
(* (log (+ 1.0 (- (* y (exp z)) y))) (/ 1 t))
13.0ms
(log (+ 1.0 (- (* y (exp z)) y)))
7.0ms
(- (* y (exp z)) y)

simplify47.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
052131118

prune143.0ms

Filtered
70 candidates to 93 candidates (-32.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh055
Picked011
Done000
Total91899

Merged error: 3.2b

Counts
99 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ z (/ t z)))
0.1b
(/ z (/ t z))
5.9b
(+ (* 1.0 (/ z t)) (* 0.5 (/ z (/ t z))))
6.0b
(* y (+ (* 1.0 (/ z t)) (* 0.5 (/ z (/ t z)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
95×add-sqr-sqrt
84×add-cube-cbrt *-un-lft-identity
47×associate-*r*
20×add-exp-log add-cbrt-cube
13×associate-/r*
9×div-inv
8×pow1 associate-*r/
6×cbrt-undiv div-exp associate-*l* add-log-exp
4×prod-exp cbrt-unprod unswap-sqr
3×associate-/l*
2×flip3-+ pow-prod-down frac-add associate-/r/ *-commutative flip-+
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in clear-num sum-log
Counts
4 → 171
Calls
4 calls:
14.0ms
(* 0.5 (/ z (/ t z)))
6.0ms
(/ z (/ t z))
5.0ms
(+ (* 1.0 (/ z t)) (* 0.5 (/ z (/ t z))))
7.0ms
(* y (+ (* 1.0 (/ z t)) (* 0.5 (/ z (/ t z)))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* 0.5 (/ z (/ t z)))
3.0ms
(/ z (/ t z))
6.0ms
(+ (* 1.0 (/ z t)) (* 0.5 (/ z (/ t z))))
18.0ms
(* y (+ (* 1.0 (/ z t)) (* 0.5 (/ z (/ t z)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049901859
149901859

prune251.0ms

Filtered
140 candidates to 183 candidates (-30.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1830183
Fresh066
Picked011
Done011
Total1838191

Merged error: 3.2b

Counts
191 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (+ (* z 0.5) 1.0))
2.6b
(* y (* z (+ (* z 0.5) 1.0)))
5.5b
(/ (+ (log 1.0) (* y (* z (+ (* z 0.5) 1.0)))) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
10×pow1
9×times-frac
6×associate-*r/ associate-*l*
5×distribute-rgt-in distribute-lft-in
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×flip3-+ associate-/r* flip-+ associate-/l* add-log-exp
2×*-commutative associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv unswap-sqr
Counts
3 → 75
Calls
3 calls:
6.0ms
(* z (+ (* z 0.5) 1.0))
8.0ms
(* y (* z (+ (* z 0.5) 1.0)))
6.0ms
(/ (+ (log 1.0) (* y (* z (+ (* z 0.5) 1.0)))) t)

series34.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* z (+ (* z 0.5) 1.0))
8.0ms
(* y (* z (+ (* z 0.5) 1.0)))
21.0ms
(/ (+ (log 1.0) (* y (* z (+ (* z 0.5) 1.0)))) t)

simplify35.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
049691137
149691137

prune117.0ms

Filtered
62 candidates to 84 candidates (-35.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh055
Picked011
Done022
Total84892

Merged error: 3.2b

Counts
92 → 8

regimes495.0ms

Accuracy

55.8% (4.8b remaining)

Error of 8.6b against oracle of 3.8b and baseline of 14.7b

bsearch1.3s

Steps
ItersRangePoint
9
-2.857740110715908e-36
-4.606550595354276e-45
-1.2220751617360544e-37

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03535
13535

end0.0ms

analyze1.1s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
1.6%98.2%0.2%9
2.3%97.5%0.2%10
11.7%88.1%0.2%11
13.1%74.3%12.7%12
16.1%70.5%13.5%13
18.6%68%13.5%14

sample2.6s

Algorithm
intervals
Results
842.0ms1457×body1280valid
528.0ms1568×body640valid
256.0ms3506×body80valid
199.0ms909×body320valid
118.0ms82×body2560valid
72.0ms1513×body80nan
64.0ms265×body640nan
63.0ms478×body160valid
48.0ms840×body80overflowed
38.0ms110×body1280nan
27.0ms163×body320nan
14.0ms132×body160nan
1.0ms15×body80invalid
0.0ms2×body640invalid
0.0ms2×body320invalid
0.0ms1×body1280invalid
0.0ms2×body160invalid

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